10345572504 has 128 divisors (see below), whose sum is σ = 30361248000. Its totient is φ = 3255033600.

The previous prime is 10345572499. The next prime is 10345572509. The reversal of 10345572504 is 40527554301.

10345572504 is a `hidden beast` number, since 1 + 0 + 34 + 5 + 572 + 50 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10345572499) and next prime (10345572509).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10345572509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1148739 + ... + 1157709.

It is an arithmetic number, because the mean of its divisors is an integer number (237197250).

Almost surely, 2^10345572504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10345572504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15180624000).

10345572504 is an abundant number, since it is smaller than the sum of its proper divisors (20015675496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10345572504 is a wasteful number, since it uses less digits than its factorization.

10345572504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9286 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The spelling of 10345572504 in words is "ten billion, three hundred forty-five million, five hundred seventy-two thousand, five hundred four".